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Class 11
Maths :-NCERT Solutions - Set

Page No 5:
Question 5:

List all the elements of the following sets:

(i) A = {xx is an odd natural number}

(ii) B = {xx is an integer,}

(iii) C = {xx is an integer,}

(iv) D = {xx is a letter in the word “LOYAL”}

(v) E = {xx is a month of a year not having 31 days}

(vi) F = {xx is a consonant in the English alphabet which proceeds k}.


Answer:

(i) A = {x: x is an odd natural number} = {1, 3, 5, 7, 9 …}

(ii) B = {x: x is an integer;}

It can be seen that  and 

∴ B 

(iii) C = {x: x is an integer;}

It can be seen that

(–1)2 = 1 ≤ 4; (–2)2 = 4 ≤ 4; (–3)2 = 9 > 4

02 = 0 ≤ 4

12 = 1 ≤ 4

22 = 4 ≤ 4

32 = 9 > 4

∴C = {–2, –1, 0, 1, 2}

(iv) D = (x: x is a letter in the word “LOYAL”) = {L, O, Y, A}

(v) E = {x: x is a month of a year not having 31 days}

= {February, April, June, September, November}

(vi) F = {x: x is a consonant in the English alphabet which precedes k}

= {b, c, d, f, g, h, j}


NCERT Maths Class 11

SET